What is the Greatest Common Factor of 81021 and 81039?

Greatest common factor (GCF) of 81021 and 81039 is 3.

GCF(81021,81039) = 3

We will now calculate the prime factors of 81021 and 81039, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81021 and 81039.

How to find the GCF of 81021 and 81039?

We will first find the prime factorization of 81021 and 81039. After we will calculate the factors of 81021 and 81039 and find the biggest common factor number .

Step-1: Prime Factorization of 81021

Prime factors of 81021 are 3, 113, 239. Prime factorization of 81021 in exponential form is:

81021 = 3¹ × 113¹ × 239¹

Step-2: Prime Factorization of 81039

Prime factors of 81039 are 3, 7, 17, 227. Prime factorization of 81039 in exponential form is:

81039 = 3¹ × 7¹ × 17¹ × 227¹

Step-3: Factors of 81021

List of positive integer factors of 81021 that divides 81021 without a remainder.

1, 3, 113, 239, 339, 717, 27007

Step-4: Factors of 81039

List of positive integer factors of 81039 that divides 81021 without a remainder.

1, 3, 7, 17, 21, 51, 119, 227, 357, 681, 1589, 3859, 4767, 11577, 27013

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81021 and 81039. The biggest common factor number is the GCF number.
So the greatest common factor 81021 and 81039 is 3.

Also check out the Least Common Multiple of 81021 and 81039